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Chaos in Learning a Simple Two Person Game

Abstract:

We investigate the problem of learning to play a generalized rock-paper-scissors game. Each player attempts to improve her average score by adjusting the frequency of the three possible responses. For the zero-sum case the learning process displays Hamiltonian chaos. The learning trajectory can be simple or complex, depending on initial conditions. For the non-zero-sum case it shows chaotic transients. This is the first demonstration of chaotic behavior for learning in a basic two person game...

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Authors


Akiyama, E More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
URN:
uuid:e217e856-c757-4c7c-8c1e-641d39c00678
Source identifiers:
387703
Local pid:
pubs:387703

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